42 citations · 103 across the 14 of their papers we have counts for
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math.CO2016★ 8 cited
Decompositions of Grothendieck Polynomials
Oliver Pechenik, Dominic Searles
We investigate the longstanding problem of finding a combinatorial rule for the Schubert structure constants in the -theory of flag varieties (in type ). The Grothendieck pol…
math.CO2016★ 37 cited
Kohnert tableaux and a lifting of quasi-Schur functions
Sami Assaf, Dominic Searles
We introduce the quasi-key basis of the polynomial ring. We prove this basis contains the quasi-Schur polynomials of of Haglund, Luoto, Mason and van Willigenburg and that stable l…
math.CO2016★ 42 cited
Schubert polynomials, slide polynomials, Stanley symmetric functions and quasi-Yamanouchi pipe dreams
Sami Assaf, Dominic Searles
We introduce two new bases for polynomials that lift monomial and fundamental quasisymmetric functions to the full polynomial ring. By defining a new condition on pipe dreams, call…